Factorising Quadratics (when a = 1)

5 quarters

5 quarters can be written as 1.25

6(1/2)^n-1

In the given expression n can be a 0th term, 1st term, 2nd term and so on. For 0th term, 6(1/2) ^n -1 = 6(1/2)^0 -1 = 6 -1 =5 For 1th term, 6(1/2) ^n -1 = 6(1/2)^1 -1 = 3 -1 =2 For 2th term, 6(1/2) ^n -1 = 6(1/2)^2 -1 = (3/2) -1 =1/2 . . . So on

3n + 3

3n+3 is a linear sequence that begins with 6 and increases by 3 each time. 6, 9, 12, 15, etc.

Fill in each box with either < or > to create a correct inequality A) 6.5 ? 6 B) 8.56 ? 8.71 C) 7.86 ? 7.84

> means greater than, so < means less than. In this case 6.5 is a bigger number than 6, so 6.5 > 6. Therefore, 6.5 > 6 8.56 < 8.71 7.86 > 7.84

Work out 2843.61 divided by 7

When you divide 2843.61 by 7, start with the first two numbers. Eg 28÷7=4 therefore the first number of the answer will be 4. 43÷7= 6.14, therefore the next numbers of the answer will be 06 and carry one over as it does not give a whole number. 1.6÷7(because one whole number is being carried over) = 0.22, therefore the next number will be 0.2 and the other two will be carried down. 0.21÷7=0.03 this is the last number to the answer. Therefore 2843.61÷7 =406.23

What is the nth term of -6, -3, 0, 3, 6, 9

The nth term of a linear sequence is a form of an+b where a and b are constants. 1. Find the difference between each term and the next. That is -3-(-6)=3 0-(-3)=3 3-0=3 6-3=3 9-6=3 2. The terms increase by 3 each, so the nth term formula must include the term '3n'. So the complete formula for the nth term will be '3n+b'. b is the number we need to find. 3. Use the 1st term (that is -6) to find b. For the 1st term that is n=1 using the nth term formula '3n+b'. n=1 => 3(1) + b = -6 => 3 + b = -6 => b = -6 - 3 => b = -9 So the complete nth term is '3n - 9'